WASM without DOM would be like if your operating system said "you can write your code in any language, but if you want to output anything to the screen, you need to compile your code as a DLL and call it from a C program."
For an assembly language designed to run in the browser, I wouldn't characterize DOM access as "just one of many APIs". DOM access is the most universal need in front end programs.
For an assembly language designed to run in the browser, I wouldn't characterize DOM access as "just one of many APIs". DOM access is the most universal need in front end programs.